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Question

A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with :

length of latus rectum 3
length of latus rectum 6
focus $\left( {{4 \over 3},0} \right)$
focus $\left( {0,{3 \over 4}} \right)$

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